Let the total volume of the mixture be 5x liters (since the ratio is 3: 2). Initially, quantity of milk = 3x liters, and water = 2x liters. After removing 10 liters of the mixture and adding 10 liters of water: Milk left = 3x - 6 liters. Water left = 2x + 6 liters. New ratio = (3x – 6): (2x + 6) = 2: 3. Cross-multiplying and solving: 9x - 18 = 4x + 12 5x = 30 x = 6 Total volume of the mixture = 5x = 30 liters.
A shopkeeper buys 100 apples at ₹5 each. 10 apples get spoiled. He sells the remaining apples at ₹6 each. What is his overall profit or loss percent...
A hexagonal prism has a base edge of 6 cm and a height of 10 cm. Find its volume and lateral surface area.
A father is currently 3 times as old as his son. In 10 years, the father’s age will be twice that of his son. What are their present ages?
Solve: ∫[(x4 – 2x3 + x2 – 2x)/(x-2)] dx
Two types of wheat costing ₹45 per kg and ₹65 per kg are blended in a ratio such that the final mixture is sold at ₹72 per kg with a 20% profit. W...
24 × 25 – 375 + 5² = 25% of ? + 2.5% of 6000
A jar initially contains 100 liters of alcohol. First, 25 liters of alcohol are stolen and replaced with water. Then, a second person takes 10 liters of...
In a competition between two participants, one participant secured 55% of the total points and won by a margin of 3,300 points. What was the total numbe...
A vessel is completely filled with milk. If 48% of the milk is replaced with water then only 130 ml of milk will be left in the vessel. What is the tota...
In an election with two candidates, A and B, 80% of registered voters cast ballots. B wins by a margin of 880 votes. If B had received 10% fewer votes, ...
